𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A theorem on the expected complexity of dijkstra's shortest path algorithm

✍ Scribed by Kohei Noshita


Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
433 KB
Volume
6
Category
Article
ISSN
0196-6774

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The expected length of a shortest path
✍ Robert Davis; Armand Prieditis πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 568 KB
On the complexity of finding paths in a
✍ Arthur W. Chou; Ker-I Ko πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 342 KB πŸ‘ 2 views

## Abstract The computational complexity of finding a shortest path in a two‐dimensional domain is studied in the Turing machine‐based computational model and in the discrete complexity theory. This problem is studied with respect to two formulations of polynomial‐time computable two‐dimensional do

On the all-pairs shortest-path algorithm
✍ Kurt Mehlhorn; Volker Priebe πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 213 KB πŸ‘ 3 views

We review how to solve the all-pairs shortest-path problem in a nonnegatively Ε½ 2 . weighted digraph with n vertices in expected time O n log n . This bound is shown to hold with high probability for a wide class of probability distributions on nonnegatively weighted Ε½ . digraphs. We also prove that

An Incremental Algorithm for a Generaliz
✍ G. Ramalingam; Thomas Reps πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 363 KB

The grammar problem, a generalization of the single-source shortest-path prob-Ž Ž . Ž . . lem introduced by D. E. Knuth Inform. Process. Lett. 6 1 1977 , 1᎐5 is to compute the minimum-cost derivation of a terminal string from each nonterminal of a given context-free grammar, with the cost of a deriv

A Simple Parallel Algorithm for the Sing
✍ Jesper L. TrΓ€ff; Christos D. Zaroliagis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 216 KB

We present a simple parallel algorithm for the single-source shortest path problem in planar digraphs with nonnegative real edge weights. The algorithm runs on the EREW PRAM model of parallel computation in O((n 2= +n 1&= ) log n) time, performing O(n 1+= log n) work for any 0<=<1Γ‚2. The strength of